2025 CCHY PRELIMS P2 Q8

StreamGuru is a legal online media services provider that allows users to download music albums over the Internet. It offers subscribers two choices of StreamGuru Plans, Standard and Elite.

1. Under the Standard Plan, subscribers can download \(x\) albums in one hour. Write an expression, in terms of \(x\), for the time taken, in minutes, to download one album under the Standard Plan.[1]
2. Under the Elite Plan, subscribers can download 5 more albums in one hour compared to the Standard Plan. Write an expression, in terms of \(x\), for the time taken, in minutes, to download one album under the Elite Plan.[1]
3. A StreamGuru subscriber can download an album under the Elite Plan 2 minutes faster than under the Standard Plan. Write an equation in \(x\) to represent this information and show that it reduces to \(x^2+5x-150=0\).[3]
4. Solve the equation \(x^2+5x-150=0\).[3]
5. How many minutes does it take for an Elite Plan subscriber to download 2 music albums?[2]
6. Find the percentage of time saved by downloading one music album under the Elite Plan compared to under the Standard Plan.[2]